Suppose that an odd function f has the additional symmetry that f(L = x) = f(x) - on the interval –L ≤ x ≤ L. First, show that the coefficients of all cosine terms are zero (i.e. An = 0 for all n). Second, show that for the sine terms Bn 0 whenever n is even. =

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Find dr/dtheta for theta^(-7/9) + r^(-7/9) = -5

Use The Intermediate Value Theorem to prove that there is at least one solution to tan(0) = (0 - 1)² on the interval (-7,7). (Note, tan() is undefined for = ±, so you will need to find your own a and b to use in the IVT)

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3-Еxpand In [x sin x /Vx2 +1]